A disk at rest experiences a constant angular acceleration for t = 85 s, at the end of which it is spinning with a frequency of f = 45 rpm. Please answer the following questions.

A)Write an expression for the magnitude of the angular velocity of the disk after the acceleration in terms of the frequency.
B)Calculate the magnitude of the angular velocity of the disk in rad/s at time t = 85 s.

1 answer

B)
45 revs/ min * 2 pi radians/rev * 1 min/60 s) = omega final
= 4.71 rad/s

A)
omega = alpha t
4.71 = alpha (85)
alpha = ang acceleration = .0554 radians/s^2
so
omega = .0554 t